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Finding the Fourth Proportional to 588.96, 817.64 and 571.14

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Solution

The fourth proportional to 588.96, 817.64 and 571.14 is: 792.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.96 : 817.64 = 571.14 : x
  2. Step 2: Convert to fraction form
    588.96/817.64 = 571.14/x
  3. Step 3: Cross multiply
    588.96x = 817.64 × 571.14
  4. Step 4: Simplify right side
    588.96x = 466,984.05
  5. Step 5: Solve for x
    x = 466,984.05/588.96
  6. Step 6: Final answer
    x = 792.90

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.